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Finding the Fourth Proportional to 6,333.01, 9,502.24 and 3,410.73

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Solution

The fourth proportional to 6,333.01, 9,502.24 and 3,410.73 is: 5,117.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.01 : 9,502.24 = 3,410.73 : x
  2. Step 2: Convert to fraction form
    6,333.01/9,502.24 = 3,410.73/x
  3. Step 3: Cross multiply
    6,333.01x = 9,502.24 × 3,410.73
  4. Step 4: Simplify right side
    6,333.01x = 32,409,566.51
  5. Step 5: Solve for x
    x = 32,409,566.51/6,333.01
  6. Step 6: Final answer
    x = 5,117.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.